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Finding the Fourth Proportional to 2,346.01, 3,518.75 and 614.77

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Solution

The fourth proportional to 2,346.01, 3,518.75 and 614.77 is: 922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.01 : 3,518.75 = 614.77 : x
  2. Step 2: Convert to fraction form
    2,346.01/3,518.75 = 614.77/x
  3. Step 3: Cross multiply
    2,346.01x = 3,518.75 × 614.77
  4. Step 4: Simplify right side
    2,346.01x = 2,163,218.86
  5. Step 5: Solve for x
    x = 2,163,218.86/2,346.01
  6. Step 6: Final answer
    x = 922.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.